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Global surgery formula for the Casson-Walker invariant /
This book presents a new result in 3-dimensional topology. It is well known that any closed oriented 3-manifold can be obtained by surgery on a framed link in S 3. In Global Surgery Formula for the Casson-Walker Invariant, a function F of framed links in S 3 is described, and it is proven that F con...
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Princeton, New Jersey :
Princeton University Press,
1996.
|
| Series: | Annals of mathematics studies ;
no. 10. |
| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- Cover; Title; Copyright; Table of contents; Chapter 1: Introduction and statements of the results; 1.1 Introduction; 1.2 Conventions; 1.3 Surgery presentations and associated functions; 1.4 Introduction of the surgery formula F; 1.5 Statement of the theorem; 1.6 Sketch of the proof of the theorem and organization of the book; 1.7 Equivalent definitions for F; Chapter 2: The Alexander series of a link in a rational homology sphere and some of its properties; 2.1 The background; 2.2 A definition of the Alexander series; 2.3 A list of properties for the Alexander series.
- 6.2 The formula involving the figure-eight linking6.3 Congruences and relations with the Rohlin invariant; 6.4 The surgery formula in terms of one-variable Alexander polynomials; Appendix: More about the Alexander series; A.1 Introduction; A.2 Complete definition of the Reidemeister torsion of (N, o(N)) up to positive units; A.3 Proof of the symmetry property of the Reidemeister torsion; A.4 Various properties of the Reidemeister torsion; A.5 A systematic way of computing the Alexander polynomials of links in S^3; A.6 Relations with one-variable Alexander polynomials; Bibliography.